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2 | Corrected typo $B/U$ -> $G/U$.; added 38 characters in body | ||
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Hi, Let $G$ be an algebraic reductive group over an algebraically closed field $k$, $T$ a maximal torus and $B = TU$ a Borel subgroup containing it. I'm interested in computing $H^*(B/U,\mathcal O_{B/U})$ H^*(G/U,\mathcal O_{G/U})$ [corrected typo; I had written $B/U$] (coherent cohomology) (in terms of the representation theory of $G$?). I suppose this is well known, but I can't find it anywhere.... Any suggestions? Thanks! |
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Coherent cohomology of G/U, G = reductive group, B = TU Borel subgroupHi, Let $G$ be an algebraic reductive group over an algebraically closed field $k$, $T$ a maximal torus and $B = TU$ a Borel subgroup containing it. I'm interested in computing $H^*(B/U,\mathcal O_{B/U})$ (coherent cohomology) (in terms of the representation theory of $G$?). I suppose this is well known, but I can't find it anywhere.... Any suggestions? Thanks!
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